82982900 has 144 divisors (see below), whose sum is σ = 242067840. Its totient is φ = 23846400.

The previous prime is 82982863. The next prime is 82982923. The reversal of 82982900 is 928928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99686 + ... + 100514.

Almost surely, 2^82982900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121033920).

82982900 is an abundant number, since it is smaller than the sum of its proper divisors (159084940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82982900 is a wasteful number, since it uses less digits than its factorization.

82982900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 82982900 is about 9109.4950463788. The cubic root of 82982900 is about 436.1771086991.

It can be divided in two parts, 829 and 82900, that multiplied together give a square (68724100 = 8290²).

The spelling of 82982900 in words is "eighty-two million, nine hundred eighty-two thousand, nine hundred".